Details

Time bar (total: 9.4s)

sample57.0ms

Algorithm
intervals
Results
41.0ms111×body10240exit
6.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
068
178
done78

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (exp a) (exp b))
0.5b
(/ (exp a) (+ (exp a) (exp b)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
12×add-sqr-sqrt add-cube-cbrt times-frac
5×distribute-lft-out
4×associate-/r* add-cbrt-cube add-log-exp
3×add-exp-log fma-def associate-/l*
2×pow1 expm1-log1p-u flip3-+ associate-/r/ flip-+ log1p-expm1-u
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
2 → 52
Calls
2 calls:
4.0ms
(+ (exp a) (exp b))
10.0ms
(/ (exp a) (+ (exp a) (exp b)))

series51.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(+ (exp a) (exp b))
32.0ms
(/ (exp a) (+ (exp a) (exp b)))

simplify1.6s

Counts
58 → 58
Iterations

Useful iterations: 4 (456.0ms)

IterNodesCost
082646
1172616
2377610
3814575
41950574
done5001574

prune125.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (sqrt (exp a)) (sqrt (exp a)) (exp b))
0.2b
(sqrt (exp a))
0.2b
(sqrt (exp a))
0.5b
(/ (exp a) (fma (sqrt (exp a)) (sqrt (exp a)) (exp b)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
9×times-frac
8×sqrt-pow1
6×pow1 exp-prod sqrt-prod add-cbrt-cube
5×add-exp-log
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r* associate-/l*
2×rem-sqrt-square pow1/2
1×cbrt-undiv frac-2neg div-exp clear-num fma-udef div-inv
Counts
4 → 75
Calls
4 calls:
0.0ms
(fma (sqrt (exp a)) (sqrt (exp a)) (exp b))
1.0ms
(sqrt (exp a))
1.0ms
(sqrt (exp a))
3.0ms
(/ (exp a) (fma (sqrt (exp a)) (sqrt (exp a)) (exp b)))

series116.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(fma (sqrt (exp a)) (sqrt (exp a)) (exp b))
11.0ms
(sqrt (exp a))
12.0ms
(sqrt (exp a))
56.0ms
(/ (exp a) (fma (sqrt (exp a)) (sqrt (exp a)) (exp b)))

simplify3.1s

Counts
87 → 87
Iterations

Useful iterations: 4 (952.0ms)

IterNodesCost
091954
1154691
2355647
3932646
42577641
done5000641

prune228.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (exp a) (+ a (+ b 2)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
15×times-frac
12×distribute-lft-out
11×add-sqr-sqrt add-cube-cbrt
5×associate-/r*
3×add-cbrt-cube associate-/l*
2×add-exp-log associate-/r/
1×pow1 cbrt-undiv expm1-log1p-u frac-2neg flip3-+ div-exp clear-num flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 39
Calls
1 calls:
16.0ms
(/ (exp a) (+ a (+ b 2)))

series70.0ms

Counts
1 → 3
Calls
1 calls:
70.0ms
(/ (exp a) (+ a (+ b 2)))

simplify2.2s

Counts
42 → 42
Iterations

Useful iterations: 4 (1.0s)

IterNodesCost
070538
1154512
2408480
31181477
44714476
done5000476

prune69.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

localize5.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000
done00

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.2b

regimes61.0ms

Accuracy

0% (0.1b remaining)

Error of 0.6b against oracle of 0.5b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0712
done712

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.3s3510×body10240exit
189.0ms8000×body80valid